Twisted Bundle on Noncommutative Space and U(1) Instanton

Details Twisted Bundle on Noncommutative Space and U(1) Instanton Twisted Bundle on Noncommutative Space and U(1) Instanton

2000-03-02

arxiv.org/abs/hep-th/0003012v2

Physics

High Energy Physics

High Energy Physics - Theory

Lecture at APCTP-KIAS winter school on Strings and D-branes 2000. some mistakes corrected

Scientific paper

We study the notion of twisted bundles on noncommutative space. Due to the existence of projective operators in the algebra of functions on the noncommutative space, there are twisted bundles with non-constant dimension. The U(1) instanton solution of Nekrasov and Schwarz is such an example. As a mathematical motivation for not excluding such bundles, we find gauge transformations by which a bundle with constant dimension can be equivalent to a bundle with non-constant dimension.

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